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Finding the Fourth Proportional to 765.42, 1,147.06 and 399.45

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Solution

The fourth proportional to 765.42, 1,147.06 and 399.45 is: 598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.42 : 1,147.06 = 399.45 : x
  2. Step 2: Convert to fraction form
    765.42/1,147.06 = 399.45/x
  3. Step 3: Cross multiply
    765.42x = 1,147.06 × 399.45
  4. Step 4: Simplify right side
    765.42x = 458,193.12
  5. Step 5: Solve for x
    x = 458,193.12/765.42
  6. Step 6: Final answer
    x = 598.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.